A 100. mL solution of NaOH has a pH of 13.51. If you add 110 mL of water to the original solution, what will the resulting pH be?

Respuesta :

Answer:

13.19

Explanation:

pH + pOH = 14

pOH = 14 – pH

        = 14 – 13.51

        = 0.49

[tex][OH]=10^{-pOH}\\=10^{0.49}= 0.323 M[/tex]

When water is added to the solution, then the concentration of the solution is changed.

[tex]M_1V_1=M_2V_2[/tex]

Initial volume is 100 mL

Final volume = 100 + 10 = 110 mL

0.323 M ×100 mL = M2 × 110

[tex]M_2 = \frac{0.323\ M ×100\ mL }{110\ M} = 0.154 M[/tex]

[OH] = 0.154 M

pOH = -log 0.154  

        = 0.81

pH = 14 – 0.81

     = 13.19

pH of the resulting solution is 13.19 .

pH =3.19

The relation between concentration of H+ and OH- ions:

[tex]pH + pOH = 14\\\\pOH = 14 - pH\\\\pOH= 14 - 13.51\\\\pOH= 0.49[/tex]

Concentration of [OH]:

[tex][OH]=10^{-pOH}\\\ [OH]=10^{0.49}=0.323M[/tex]

On adding water to the solution, concentration of the solution gets changed.

[tex]M_1V_1=M_2V_2[/tex]

Initial volume, V1= 100 mL

Final volume, V2 = 100 + 10 = 110 mL

[tex]0.323 M *100 mL = M_2 * 110 mL\\\\M_2=\frac{0.323 M *100 mL}{110MmL} \\\\M_2=0.154M[/tex]

Therefore,

[tex][OH]=0.154M\\\\pOH = -log 0.154 \\\\pOH= 0.81\\\\pH = 14 - 0.81\\\\pH= 13.19[/tex]

Thus, the pH of the resulting solution is 13.19 .

Find more information about "pH" here:

brainly.com/question/7208939

ACCESS MORE